What is the value of y in the equation 3y - 7 = 2?

What is the value of y in the equation 3y - 7 = 2?

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (C)

To find the value of y in the equation 3y - 7 = 2, you start by isolating the variable y. First, add 7 to both sides of the equation to eliminate the -7 on the left side: 3y - 7 + 7 = 2 + 7, which simplifies to 3y = 9. Next, to solve for y, divide both sides of the equation by 3: 3y/3 = 9/3, which simplifies to y = 3. Thus, the correct value of y is 3. This process of isolating the variable by performing inverse operations exemplifies standard algebraic techniques used to solve equations. It is essential to apply these steps systematically to arrive at the correct solution.

To find the value of y in the equation 3y - 7 = 2, you start by isolating the variable y. First, add 7 to both sides of the equation to eliminate the -7 on the left side:

3y - 7 + 7 = 2 + 7, which simplifies to 3y = 9.

Next, to solve for y, divide both sides of the equation by 3:

3y/3 = 9/3, which simplifies to y = 3.

Thus, the correct value of y is 3. This process of isolating the variable by performing inverse operations exemplifies standard algebraic techniques used to solve equations. It is essential to apply these steps systematically to arrive at the correct solution.